Atkin-Lehner |
2+ 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120802b |
Isogeny class |
Conductor |
120802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43868160 |
Modular degree for the optimal curve |
Δ |
-1.8140720313057E+25 |
Discriminant |
Eigenvalues |
2+ -1 3 -4 11+ 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,52663164,142690829008] |
[a1,a2,a3,a4,a6] |
Generators |
[42187:8779397:1] |
Generators of the group modulo torsion |
j |
2315544715329826103/2600537714576384 |
j-invariant |
L |
3.9451488554395 |
L(r)(E,1)/r! |
Ω |
0.045889858951115 |
Real period |
R |
10.746243494979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000176237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120802c1 |
Quadratic twists by: 17 |